Figure about 28 hours labor, at your area's going labor rate, and a real Pro that is capable of rebuilding it...
This is not a job for a guy who is not trained on this..
Industry standard labor alone will run you about $2,500.00.
That is before you factor in the necessary parts that will be needed.

Personally, I would forego the overhaul option and look into a replacement. Much cheaper. Trust me.

The graciousness of a FixYa rating would be greatly appreciated. Thanks in advance.

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If your automatic transmission fluid has not previously been changed, it would be a good idea to change the fluid at this point. With 100,000 miles on the transmission, it would also be a good time to drop the transmission pan and change the internal filter, too. That's a messy job, and one that I have started paying people to do--good thing you only do it about every 75,000-100,000 miles.

Ordinarily, it's a pretty good idea to change the transmission fluid every 50-60,000 miles, especially if you do a lot of start and stop driving or especially if you use your vehicle to tow anything. Fresh transmission fluid will probably help your truck shift a bit more smoothly. More importantly, the fresh dose of lubricants and the like will reduce wear on the transmission bands. I'd rather change my fluid more often than have to rebuild my transmission. With proper maintenance, though, your transmission should last well past 150,000 miles; I've seen Toyota transmissions with well over 200,000 miles on them with fluid changes as their only maintenance. Some have made it close to 300,000 miles with only fluid and filter changes, but I wouldn't count on that for the average transmission.

Depending on where you get the transmission it will run $800 to $2000 plus installation cost unless you do that yourself. It is usually cheaper to rebuild the transmission than replace it out right unless your converting from Manual to Automatic.

Depending on how many miles you have on it. You may need to have some repairs done. I don't know if there is much you can do to a jeep after it starts slipping other than try and change the fluid. The rebuild is the best option for you for sure. But you could put some no slip transmission fluid additives in it. Go to a parts store if you think thats your best option and tell them whats wrong and they will hook you up with some good additives. Go to Advance Auto or Auto Zone. The rebuild will be less expensive if the transmission still functions. Around $1000 versus the non functioning transmission that would cost about $1400-$2000. New transmission cost a lot more.
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try my best at explaining my answer to your problem. And for your safety, here
is a complete list of recalls on your vehicle. If your vehicle is affected by
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Your transmission needs repair. Since repairing transmission is not an easy job, ask first the service center their repair cost, and compare it a new one. If the repair cost is just 30 to 35% of buying a new one,Then you may consider the repairing it. Otherwise, yourbest option is buying a new one.

Good luck. I have a1987 s10 truck, transmission went out (standard 4 speed). There were very few places that even had a rebuilt transmission for my truck. One place was going to rebuild it, then found that many of the parts were not being built any longer. Called the chevy dealer and found this to be true, parts were discontinued.

If the engine stalls abruptly on your Cirrus, as if some one clamped
it, then I would suspect that the 'lock-up' function on the torque
converter of the transmission is in the lock-up position. That means it
is the same as popping the clutch on a conventional transmission car,
which cause the same stall. If you can't drive the car, I would call
around to several independent transmission shops to find one that is
familiar with the Chrysler 41TE transmission and that appears to be
honest. Ask if they have a diagnostic readout box to communicate with
the transmission control computer. If they do then have the car towed
there and let them try a readout. If they get a code 38 or 0740
(depending upon what year model you have there) then that would show
that the lock-up is the problem. If you are lucky the problem will be
with a solenoid switch or valve in the box on the side of the
transmission which can be corrected easily without removing the
transmission. Because this possibility (along with about 6 other
causes) is worth pursuing, I would want a shop that is not going to
talk you into a "rebuild" without first looking into all the possible
reasons for the lock-up condition so you aren't "taken for a ride".
So ask friends if they know a good honest shop and check them out as to
how well they understand the Chrysler transmission. You may end up at a
Chrysler dealer, but insist on their trying all the other possible
causes before authorizing removal of the transmission which is a very
expensive repair and may not be necessary.